I have tried pressing the centre console panel and it makes no difference. I think the rattle might be from the radio, though. I have a Sony radio with a removeable facia. We have had several cars with this kind of radio and they have all rattled a little. I am going to remove and reinstall it at the weekend.
The C43 I tried yesterday rattled as well. I remain very tempted by that car.
1999 SL 500
1993 320 TE
1986 500 SEC